15141000 has 192 divisors, whose sum is σ = 55486080. Its totient is φ = 3427200.

The previous prime is 15140981. The next prime is 15141001. The reversal of 15141000 is 14151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15141001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146949 + ... + 147051.

It is an arithmetic number, because the mean of its divisors is an integer number (288990).

Almost surely, 2^15141000 is an apocalyptic number.

15141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27743040).

15141000 is an abundant number, since it is smaller than the sum of its proper divisors (40345080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15141000 is a wasteful number, since it uses less digits than its factorization.

15141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 15141000 is about 3891.1437907124. The cubic root of 15141000 is about 247.3915451765.

Adding to 15141000 its reverse (14151), we get a palindrome (15155151).

The spelling of 15141000 in words is "fifteen million, one hundred forty-one thousand".